Search a number
-
+
5813778550590 = 23254710487131059
BaseRepresentation
bin101010010011010000000…
…1101001000111100111110
3202120210101020000202111100
41110212200031020330332
51230223104302104330
620210451335033530
71140013565211453
oct124464015107476
922523336022440
105813778550590
11194167847724a
1279a8ba80b8a6
133323107c544a
14161561a1b82a
15a136a4a2060
hex549a0348f3e

5813778550590 has 96 divisors (see below), whose sum is σ = 15439027368960. Its totient is φ = 1517198703552.

The previous prime is 5813778550583. The next prime is 5813778550607. The reversal of 5813778550590 is 950558773185.

5813778550590 is a `hidden beast` number, since 5 + 8 + 1 + 3 + 7 + 78 + 550 + 5 + 9 + 0 = 666.

It is a super-2 number, since 2×58137785505902 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44294481 + ... + 44425539.

It is an arithmetic number, because the mean of its divisors is an integer number (160823201760).

Almost surely, 25813778550590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5813778550590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719513684480).

5813778550590 is an abundant number, since it is smaller than the sum of its proper divisors (9625248818370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5813778550590 is a wasteful number, since it uses less digits than its factorization.

5813778550590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141606 (or 141603 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 63.

The spelling of 5813778550590 in words is "five trillion, eight hundred thirteen billion, seven hundred seventy-eight million, five hundred fifty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 4230 10487 20974 31461 52435 62922 94383 104870 131059 157305 188766 262118 314610 393177 471915 492889 655295 786354 943830 985778 1179531 1310590 1478667 1965885 2359062 2464445 2957334 3931770 4436001 4928890 5897655 6159773 7393335 8872002 11795310 12319546 14786670 18479319 22180005 30798865 36958638 44360010 55437957 61597730 92396595 110875914 184793190 277189785 554379570 1374415733 2748831466 4123247199 6872078665 8246494398 12369741597 13744157330 20616235995 24739483194 41232471990 61848707985 64597539451 123697415970 129195078902 193792618353 322987697255 387585236706 581377855059 645975394510 968963091765 1162755710118 1937926183530 2906889275295 5813778550590